TY - JOUR
T1 - Multifractal properties of the wave functions of the square-lattice tight-binding model with next-nearest-neighbor hopping in a magnetic field
AU - Chang, I.
AU - Ikezawa, K.
AU - Kohmoto, M.
PY - 1997
Y1 - 1997
N2 - We have used multifractal analysis for the wave functions to study the universality of the scaling properties of Harperșs equation, the equation for a particle moving on a tight-binding square lattice in the presence of a gauge field, when coupling to next-nearest sites are added. We find that the properties of the wave functions are consistent with those of the spectra obtained by Han et al. [Phys. Rev. B 50, 11 365 (1994)]. The phase diagram consists of the three regions where the wave functions are localized, extended and critical, respectively.
AB - We have used multifractal analysis for the wave functions to study the universality of the scaling properties of Harperșs equation, the equation for a particle moving on a tight-binding square lattice in the presence of a gauge field, when coupling to next-nearest sites are added. We find that the properties of the wave functions are consistent with those of the spectra obtained by Han et al. [Phys. Rev. B 50, 11 365 (1994)]. The phase diagram consists of the three regions where the wave functions are localized, extended and critical, respectively.
UR - http://www.scopus.com/inward/record.url?scp=0002289027&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.55.12971
DO - 10.1103/PhysRevB.55.12971
M3 - Article
AN - SCOPUS:0002289027
SN - 1098-0121
VL - 55
SP - 12971
EP - 12975
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 19
ER -